CURRICULUM VITA Habib Sharif 1

CURRICULUM VITA
Habib Sharif
Nov. 2014
RESIDENCE
Work:
Department of Mathematics
College of Sciences
Shiraz University 71454
Shiraz, Iran
Phone: (0713)2281335
E-mail: [email protected]
EDUCATION
1989
Ph.D.
1984
M.Sc.
1979
B.Sc.
Mathematical Institute, The University of Kent, Canterbury, Kent, CT2 7NF,
U.K.
Thesis: Algebraic Functions, Differentially Algebraic Power Series and
Hadamard Operations.
Supervisor: Dr. Christopher F. Woodcock.
Department of Mathematics, College of Sciences, Shiraz University Shiraz
71454, Shiraz, Iran.
Dissertation topic: Existentially Complete Prime Rings.
Dissertation Director: Professor Ahmad Haghani.
Mathematical Department, College of Sciences, Isfahan University, Isfahan,
Iran.
PROFESSIONAL EXPERIENCE
Academic Positions:
1
1980-83
1983-84
1984-85
1985-89
1988-89
1990now
1989-93
1993-99
99-now
1991-95
1994-95
1991-95
1995-96
98-2005
99-2005
2014now
2014now
2014now
Lecturer in Mathematics, Educational Institutions, Shiraz, Iran.
Graduate Assistant, Shiraz University, Iran
Lecturer in Mathematics, Shiraz University.
Research Assistant, University of Kent, UK.
Teaching Assistant, University of Kent, UK.
Associate member of graduate faculty, Shiraz University.
Assistant Professor of Mathematics, Department of Mathematics,
Shiraz University.
Associate Professor of Mathematics, Department of Mathematics,
Shiraz University.
Professor of Mathematics, Department of Mathematics,
Shiraz University.
Vice-Dean, College of Sciences, Shiraz University.
Member of the board of Discriminatery of Shiraz University.
Member of University Council, Shiraz University.
On sabbatical leave, Department of Mathematics, University of Toronto, Ontario,
Canada.
Member of the board of Discriminatery of Shiraz University.
Vice-Chancellor for Research, Shiraz University.
Chancellor of Fars Elites Foundation.
The representative of the Minister of Culture, Research and Tecknology in the board of
Discriminatery of yasuj Universitory.
The member of the board of Trustees of The Islamic Azad University of Hormorzghan
Province.
2
Refereed Publications:
1. (joint with C.F. Woodcock) Algebraic functions over fields of positive characteristic and Hadamard
products, J. London Math. Soc.(2) 37(1988) 395-403. MR # 89 f: 12005.
2. (joint with C.F. Woodcock) On the transcendence of certain power series, J. Algebra, 121(1989)
364-369. MR # 90 i: 11075.
3. (joint with C.F. Woodcock) Hadamard products of rational formal power series, J. Algebra,
128(1990) 517-527. MR # 91 b: 13027.
4. Algebraic independence of certain formal power series(I), J.Sci. I.R.IRAN, 2(1991) 50-55. MR #
91 d: 12007.
5. Algebraic independence of certain formal power seres(II), J.Sci. I.R.IRAN, 3(1992) 148-151.
6. Children products of power series, Math. Japonica 38(1993) 1-6. MR # 94 c: 13022.
7. The real numbers π, π 2 and e are irrational and transcendental, Gulchin-I Riazi Vol 1 No. 1 (1993)
77-86.
8. A5 is simple, Gulchin-I Riazi Vol 1 No. 2 (1993) 69-75.
9. A short note on p-adic numbers, Gulchin-I Riazi Vol 2 No. 2 (1994) 1-10.
10. (joint with Y. Sharifi and S. Namazi) Rings satisfying the radical formulas, Acta Math. Hungar.
71 (1996) 103-108. MR # 97 j: 13002.
11. Finite Machines (Automata) and Algebraic power series, Gulchin-I Riazi Vol 4,5 (1997) 53-63.
12. A dual for differentiably finite functions over fields of positive characteristic, Gulchin-I Riazi Vol
6,7 (1998) 3-9.
13. E-algebraic functions over fields of positive characteristic - an analogous for differentially algebraic
functions, J. Algebra, 207 (1998) 355-366.
14. (joint with S. Namazi) Catenary Modules, Acta Math. Hungar. 85 (1999) 211-218.
15. (joint with A. Azizi) On prime submodules, Honam Math. J. 21 (1999) 1-12.
16. Hadamard products of certain power series, Acta Arith. XCI (1999) 95-105.
17. E-finite power series over fields of positive characteristic- an analogue of D-finite power series,
Research Bull. Isfahan Uni. 12 (1999) 61-68.
18. (joint with S. Namazi) Catenary Modules II, Honam Math. J. 22 (2000) 9-16.
19. The algebra of formal power series, Proceedings of the Monthly Colloquim of the Iranian Mathematical Society 2 (2003) 181-202.
20. (join with A. Khaksari and M. Ershad) On prime submodules of multiplication modules, Int. J.
of Pure and Applied Maths. 17 (2004) 41-49.
21. (joint with A. Khaksari and M. Ershad) Strongly irreducible submodules of modules, Acta Math.
Sinica, 22 (2006) 1189-1196.
22. (joint with M. Maani Shirazi) Hilbert modules, Int. J. of Pure and Applied Maths. 20 (2005) 1-7.
23. (joint with A. Amini and B. Amini) Prime and primary submodules of certain modules, Czech.
Math. J., 56 (2006) 614-648.
24. (Joint with A. Amini, B. Amini and M. Ershad) On generalised perfect rings, Comm. Algebra,
35 (2007), 953-963.
25. (joint with A. Amini and M. Ershad) Rings over which flat covers of finitely generated modules
are projective, Comm. Algebra, 36 (2008) 2862-2871.
3
26. (joint with B. Amini and M. Ershad) Coretrctble modules, J. Australian Math. Soc. 86 (2009)
289-304.
27. (joint with M. Baziar and M. Behboodi) Uniformly classical primary submodules, Comm. Algebra
40 (2012) 3192-3201.
28. (joint with M. H. Shekarriz and M. Shirdareh Haghihgi) On the total graph of a finite commutative
ring, Comm. Algebra, 40 (2012) 2798-2807.
29. (joint with M. Ershad and N. Amiri) Cover for modules, Palestine J. of Maths. 1 (2012) 153-156.
30. (joint with A. Niksheresht) Fully Primary Modules and Some Variations, J. Algebra and Related
Topics 1 (2013) 1-17.
31. (joint with Niksheresht) On Co-Multiplication and r-Multiplication Modules, J. Algebraic Systems
2(2014) 1-19.
4
I) Conference Presentations and Seminars:
1. Algebraic functions over fields of positive characteristic and Hadamard products, the 21st Annual
Iranian Mathematics Conference, March 13-16, 1990, Isfahan, Iran.
2. On the transcendence of certain power series, the Sixth Seminar in Algebra, Sept. 12-13, 1990,
Tehran, Iran.
3. A property of a class of rational functions, the 22nd Annual Iranian Mathematics Conference,
March 13-16, 1991, Mashhad, Iran.
4. Formal Pseudo-differential operator skew rational series, the 23rd Annual Iranian Mathematics
Conference, April 7-10, 1992, Bakhtaran, Iran.
5. The center of the ring of skew power series, the 23rd Annual Iranian Mathematics Conference,
April 7-10, 1992, Bakhtaran, Iran.
6. Some characterisations of algebraic Laurent series, the Seventh Seminar in Algebra, Nov. 5-6,
1992, Hamadan, Iran.
7. The center and extended centroid of R[[x, σ]], the Seventh Seminar in Algebra, Nov. 5-6, 1992,
Hamadan, Iran.
8. The skew field of skew rational series over the field of complex numbers, the 24th Annual Iranian
Mathematics Conference, March 28-31, 1993, Tehran, Iran.
9. Radicals of Submodules, the 24th Annual Iranian Mathematics Conference, March 28-31, 1993,
Tehran, Iran.
10. Quasi-prime Submodules, the 24th Annual Iranian Mathematics Conference, March 28-31, 1993,
Tehran, Iran.
11. Idempotents in R[[x, σ]], the 25th Annual Iranian Math. Conf. 28-31 March 1994, Tehran, Iran.
12. Differentially algebraic power series, the 25th Annual Iranian Math. Conf. 28-31 March 1995,
Kerman, Iran.
13. The generalised principal ideal Theorem for modules, the 9th National seminar in Algebra, Nov.
18-19, 1997, Babolsar, Iran.
14. Differentially algebraic power series over fields of charactenistic p, the 29th Annual Iranian Conference, March 28-31, 1998, Theran, Iran.
15. The height of prime submodules in a free module, the 10th seminar in Algebra, Oct. 21-22, 1998,
Sanandaj, Iran.
16. Formal power series and diagonals, the 10th seminar in Algebra, Oct. 21-22, 1998, Sanandaj, Iran.
17. Catenary modules II, the 12th Seminar in Algebra, March 28-29, 2000, Tehran, Iran.
18. The algebra of power series, the 14th Seminar in Algebra, July 16-18, 2002, Tehran, Iran.
19. Some results on PP- and PF-modules, the 16th Seminar in Algebra, Oct. 6-9, 2004, Zanjan, Iran.
20. The product of submodules of multiplication modules, the 16th Seminar in Algebra, Oct. 6-9,
2004, Zanjan, Iran.
21. Strongly irreducible submodules of modules, the 35th Annual Iranian Mathematics Conference,
Jan. 26-29, 2005, Ahvaz, Iran.
22. On Power Series, the 36th Annual Iranian Mathematics Conference, Sept. 10-13, 2005, Yazd, Iran.
23. On generalized perfect rings, the 17th seminar in Algebra, March 8-9, 2006, Zahedan, Iran.
24. Forcing linearity number for modules, the 42nd Annual Iranian Mathematical Conference, Sept.
5-8, 2011, Rafsanjan, Iran.
5
25. Fully k-primary modules, the 42nd Annual Iranian Mathematical Conference, Sept. 5-8, 2011,
Refsanjan, Iran.
26. Fully primary modules, the 43rd Annual Iranian Mathematical Conference, Aug. 27-30 (2012),
Tabriz, Iran.
6
II) Colloquia Talk:
1. Algebraic functions and Hadamard products, Mathematical Institute, The University of Kent at
Canterbury, Kent, U.K. Winter 1988.
2. Algebraic series and Hadamard operations, Department of Mathematics, Shiraz University, Shiraz,
Iran, Winter 1991.
3. Some methods for transcendency, Department of Mathematics, Shiraz University Shiraz, Iran,
Summer 1990.
4. Differentially algebraic power series over fileds of positive characteristic, Department of Mathematics, University of Toronto, Canada, Nov. 1995.
5. Differentially algebraic functions, Department of Mathematics, Shiraz University, Shiraz, Iran,
Nov, 1996.
6. The algebra of formal power series, Department of Mathematics, Tehran University, Tehran, Iran,
Summer 2002.
III) Conference Attendance:
1. The International Congress of Mathematics, Kyoto, Japan, August 21-29, 1990.
2. Diophantine problems, Nara, Japan, August 28-30, 1990.
Conference and Colloquia Management:
• Coordinator of the Mathematics Department Seminars at Shiraz University 1989-92.
• Coordinator of the 5th Seminar of Analysis, Shiraz University, Shiraz, Iran, Nov. 19-20, 1990.
Manuscripts/Proposals Refereed for:
• The Iranian Universities, such as, Mashhad, Kerman, Isfahan, Technology of Isfahan, Sharif,
Thehran, Ahvaz, Sistan & Bluchiston, etc.
• The International Congress on Computational Methods in Engineering, Shiraz University, Shiraz,
Iran, May 2-6, 1993.
• Some national and international Journals.
Professional Societies and Honoraries:
• The London Mathematical Society since 1987-92.
• The Mathematical Society of France 1990-92.
• The Iranian Mathematical Society since 1989.
• The American Mathematical Society 1990-92.
7
RESEARCH ACTIVITIES
Research Interests:
• Polynomials and Fields.
• Commutative Algebra.
• Ring Theory
Grants:
1985-89
TEACHING
The Ministry of Culture and Higher Education Scholarship.
I) Undergraduate:
1984-85
1988-89
1989
Calculus
Applicable Analysis, Theory of Approximation.
Calculus, Algebra I, Galois Theory, Algebra II, Algebra III.
II) Graduate:
1989
Algebra III, Commutative Algebra, Finite Groups, Rings and Modules, Algebraic Number Theory, Introduction to commutative Algebra, Advanced Commutative Algebra.
8
GRADUATE SUPERVISION
i) Dissertations Directed (M.Sc.):
1- Sept. 1990
2- Feb. 1991
3- Aug. 1991
C. Eslahchi
R. Soltani
M. Mirani
4- Aug 1991
5- Feb. 1992
6- May 1993
7- July 1993
8- July 1993
9- Feb. 1994
10- Apr. 1995
11- Mar. 1995
12- July. 1995
A. Khaksari
M. Hossein Yazdi
M. Azadi
Y. Sharifi
A. Azizi
A. Shariati
M.H.Kolahi
A. Kolaee
S. Namazi
13- Aug. 1995
14- June 1997
A.G. Alahyari
M. Maani Shirazi
15- Nov. 1997
16- Nov. 1997
L. Oftadeh.
N. Karparvar
17- Sept. 1998
18- Sept. 1999
N. Amiri
M. Karimi-nia
19- Sept. 1999
G. Nazari
20212223242526-
Nov. 1999
June 2000
Oct. 2000
Sept. 2000
Nov. 2001
Feb. 2003
Aug. 2003
Z. Mohammadi
M. Habibi
A.H. Delfan
M. Mobeeni
M. Bazyar
A. Erami
B. Amini
27282930-
Sep.
Oct.
Feb.
Feb.
2003
2003
2009
2009
A. Amini
A. Manavi
A. Dallaki
S. Najafi
31323334-
Dec.
Dec.
Sep.
Dec.
2008
2008
2010
2010
M. Shabani
S. Sheikh-mohseni
F. Askari
M. H. Shekarrize
35- Feb. 2011
Y. Vaziri
36- Sept. 2011
37- Sept. 2011
S. Roueentan
T. Kakaei
38- Feb. 2012
39- Sep. 2012
40- Sep. 2013
S. Hekamatara
M. Akbarizadeh
M. Kargar shahrabadi
MD-Finite Power Series
Rational Functions
Polya’s Theorem and Supports of Rational Series Over
Fields of Arbitrary Characteristic
Some Galois Theory of Power Series
Extended Centroid of Certain Rings
The Group Generated by x 7→ x + 1 and x 7→ xp in Free
Radicals of Submodules
Prime Submodules
Multiplicative Modules
Modules with Intersection Summand Property
Terse Modules
A principal Ideal Theorem Analogue for Modules over commutative Rings
Finite Automata and Power Series
Commutative Rings in Which Every Ideal is a Product of
Primary Ideals
Dedekind Modules and Dense Submodules
On Rings Whose Artinan Modules are Precisely
Noetherian
Modules Whose Proper Submodules are Finitely Generated
Dedekind Domains are the only One-Dimensional Domains Which Satisfy the Radical Formula
Primitivity in skew laurent polynomial rings and related
rings
Modules with chain condition on superfluous submodules
Unions of prime submodules
Modules with bounded spectra
Spectra of modules
The Zariski Topolgy on the Prime Spectrum of a Module
Noetherian rings which have the S.P.A.R. Property
Dense submodules of multiplication modules and prime
submodules
Multiplication modules and ideals
Matlis dual extensions (Joint with Dr Naghee-pour)
Multiplication Modules and a Tehorem of P. F. Smith
Polynomials Contained in a Finite Number of Maximal
Ideals
Projective Modules and Prime Submodules
Modules with the Direct Summand Sum Property
Forcing Linearity Numbers for Modules
Zero Divisor Graph for the Rings of Gaussian Integers
Modul n (Joint with Dr. Shirdareh)
The Zero-Divisor Graph of a Commutative Ring (Joint
with Dr. A. Amiri)
Linear Error-Block Codes (Joint with Dr. Namazi)
A Public Key Crytography Based on some Algebraic
Structures
On Almost-Quasi-Commutative Rings
Generalized Primary Rings and Modules
On Finite Factorization Rings.
9
ii) Thesis Directed (Ph.D.):
1- Sept. 1999
2- Oct. 2000
3- Apr. 2005
A. Azizy
S. Namazi
A. Khaksari
4- July. 2006
N. Amiri
5- July. 2006
6- Apr. 2008
M. Maani Shirazi
B. Amini
7- Apr. 2008
A. Amini
On Prime Submodules
Catenary Modules
Prime subsystems and prime Ideals in S-systems (Joint
with Dr Ershad)
Regular Modules and Cover for Modules. (Joint with Dr
Ershad).
Hilbert Modules and Coprimary Modules.
Corectractable Modules and Equivalence of Diagonal Matrices over Local Rings (Joint with Dr Ershad).
Almost Perfect and Generalised Perfect Rings (Joint with
Dr Ershad).
10